Common fixed points of two mappings regarding a generalized \(c\)-distance over a Banach algebra (Q2024571)
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scientific article; zbMATH DE number 7343380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common fixed points of two mappings regarding a generalized \(c\)-distance over a Banach algebra |
scientific article; zbMATH DE number 7343380 |
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Common fixed points of two mappings regarding a generalized \(c\)-distance over a Banach algebra (English)
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4 May 2021
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Summary: In this article, applying the concept of a generalized \(c\)-distance in cone \(b\)-metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a \(wt\)-distance in \(b\)-metric spaces while they contain recent results corresponding to a generalized \(c\)-distance in cone \(b\)-metric spaces.
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generalized \(c\)-distance
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cone \(b\)-metric space over Banach algebra
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nonnormal solid cone
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noncontinuous mappings
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